Reflexivity and hyperreflexivity of the space of locally intertwining operators

0346986 - MÚ 2011 RIV RO eng J - Journal Article
Bračič, J. - Müller, Vladimír - Zajac, M.
Reflexivity and hyperreflexivity of the space of locally intertwining operators.
Journal of Operator Theory. Roč. 63, č. 1 (2010), s. 101-114. ISSN 0379-4024. E-ISSN 1841-7744
Grant - others:MŠ SR(SK) G-1/3025/06; bilateral research cooperation between Czech and Slovak republics(SK) SK-79/CZ-89
Institutional research plan: CEZ:AV0Z10190503
Keywords : space of intertwiners * space of local intertwiners * commutant * local commutant * reflexivity * hyperreflexivity
Subject RIV: BA - General Mathematics
Impact factor: 0.460, year: 2010
http://www.mathjournals.org/jot/2010-063-001/2010-063-001-004.html

An operator S is a local intertwiner of operators A and B at vector e if SAe = BSe. We characterize the spaces of all local intertwiners I(A, B; e) that are reflexive (hyperreflexive). We show that in all interesting cases the reflexivity (hyperreflexivity) of I(A, B; e) depends only on B and is independent of A and e. This has consequences concerning the reflexivity of the space of intertwiners I(A, B) and of the commutant of an operator.
Permanent Link: http://hdl.handle.net/11104/0187866